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Finding the Third Proportional to 403,056 and 609,120

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Solution

The third proportional to 403,056 and 609,120 is: 920,535.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,056 : 609,120 = 609,120 : x
  2. Step 2: Convert to fraction form
    403,056/609,120 = 609,120/x
  3. Step 3: Cross multiply
    403,056x = 609,120 × 609,120
  4. Step 4: Simplify right side
    403,056x = 371,027,174,400
  5. Step 5: Solve for x
    x = 371,027,174,400/403,056
  6. Step 6: Final answer
    x = 920,535.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.